## GMAT Quantitative Review

**3.0**** ****Math Review**

**3.2 Algebra**

**8. Inequalities**

An *inequality* is a statement that uses one of the following symbols:

Some examples of inequalities are , , and . Solving a linear inequality with one unknown is similar to solving an equation; the unknown is isolated on one side of the inequality. As in solving an equation, the same number can be added to or subtracted from both sides of the inequality, or both sides of an inequality can be multiplied or divided by a positive number without changing the truth of the inequality. However, multiplying or dividing an inequality by a negative number reverses the order of the inequality. For example, , but .

To solve the inequality for *x*, isolate *x* by using the following steps:

To solve the inequality for *x*, isolate *x* by using the following steps: